3313330020000 has 4320 divisors, whose sum is σ = 16758500863104. Its totient is φ = 609638400000.

The previous prime is 3313330019983. The next prime is 3313330020017. The reversal of 3313330020000 is 200333133.

3313330020000 is a `hidden beast` number, since 3 + 313 + 330 + 0 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3313330019983) and next prime (3313330020017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 46666619965 + ... + 46666620035.

Almost surely, 2^{3313330020000} is an apocalyptic number.

3313330020000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313330020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379250431552).

3313330020000 is an abundant number, since it is smaller than the sum of its proper divisors (13445170843104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3313330020000 is a wasteful number, since it uses less digits than its factorization.

3313330020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 3313330020000 its reverse (200333133), we get a palindrome (3313530353133).

The spelling of 3313330020000 in words is "three trillion, three hundred thirteen billion, three hundred thirty million, twenty thousand".